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Finding the Fourth Proportional to 4,768.23, 7,152.21 and 1,305.48

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Solution

The fourth proportional to 4,768.23, 7,152.21 and 1,305.48 is: 1,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.23 : 7,152.21 = 1,305.48 : x
  2. Step 2: Convert to fraction form
    4,768.23/7,152.21 = 1,305.48/x
  3. Step 3: Cross multiply
    4,768.23x = 7,152.21 × 1,305.48
  4. Step 4: Simplify right side
    4,768.23x = 9,337,067.11
  5. Step 5: Solve for x
    x = 9,337,067.11/4,768.23
  6. Step 6: Final answer
    x = 1,958.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.